Observer-Based Relative-Output Feedback Consensus of One-Sided Lipschitz Multi-Agent Systems Subjected to Switching Graphs

Muhammad Ahsan Razaq; Muhammad Rehan; Choon Ki Ahn; Keum Shik Hong

doi:10.1109/TCNS.2022.3181526

Observer-Based Relative-Output Feedback Consensus of One-Sided Lipschitz Multi-Agent Systems Subjected to Switching Graphs

Muhammad Ahsan Razaq, Muhammad Rehan, Choon Ki Ahn, Keum Shik Hong

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

This article addresses a multiple Lyapunov functions approach for investigating an observer-based protocol for the consensus of nonlinear multiagent systems (MASs). Consensus protocol designs using relative-output feedback are developed by considering leader-following consensus and one-sided Lipschitz nonlinearity (OSL) under switching topologies. Switching occurrences are modeled using a relaxed average dwell time constraint. Consensus protocol designs have been provided for switching communication topologies that have a permanent or frequent directed spanning tree (DST) with respect to the leader. In contrast to conventional methods, a more practical and complicated output feedback approach for the consensus of OSL agents under switching topologies has been addressed. In addition, the scenario of frequent DST in a switching network is addressed for the first time to the best of our knowledge for the observer-based control protocol for MASs with OSL nonlinearities. Numerical simulations are provided for MASs to confirm observer-based protocol's proficiency at synchronization under switching graphs.

Original language	English
Pages (from-to)	1875-1886
Number of pages	12
Journal	IEEE Transactions on Control of Network Systems
Volume	9
Issue number	4
DOIs	https://doi.org/10.1109/TCNS.2022.3181526
Publication status	Published - 2022 Dec 1

Keywords

Leader-following consensus
multiple Lyapunov functions
observer-based control
one-sided Lipschitz condition
switching topology

ASJC Scopus subject areas

Control and Systems Engineering
Signal Processing
Computer Networks and Communications
Control and Optimization

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10.1109/TCNS.2022.3181526

Cite this

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title = "Observer-Based Relative-Output Feedback Consensus of One-Sided Lipschitz Multi-Agent Systems Subjected to Switching Graphs",

abstract = "This article addresses a multiple Lyapunov functions approach for investigating an observer-based protocol for the consensus of nonlinear multiagent systems (MASs). Consensus protocol designs using relative-output feedback are developed by considering leader-following consensus and one-sided Lipschitz nonlinearity (OSL) under switching topologies. Switching occurrences are modeled using a relaxed average dwell time constraint. Consensus protocol designs have been provided for switching communication topologies that have a permanent or frequent directed spanning tree (DST) with respect to the leader. In contrast to conventional methods, a more practical and complicated output feedback approach for the consensus of OSL agents under switching topologies has been addressed. In addition, the scenario of frequent DST in a switching network is addressed for the first time to the best of our knowledge for the observer-based control protocol for MASs with OSL nonlinearities. Numerical simulations are provided for MASs to confirm observer-based protocol's proficiency at synchronization under switching graphs.",

keywords = "Leader-following consensus, multiple Lyapunov functions, observer-based control, one-sided Lipschitz condition, switching topology",

author = "Razaq, {Muhammad Ahsan} and Muhammad Rehan and Ahn, {Choon Ki} and Hong, {Keum Shik}",

note = "Funding Information: This work was supported in part by the National Research Foundation of Korea (NRF) under Grant NRF-2020R1A2C1005449 Publisher Copyright: {\textcopyright} 2014 IEEE.",

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PY - 2022/12/1

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N2 - This article addresses a multiple Lyapunov functions approach for investigating an observer-based protocol for the consensus of nonlinear multiagent systems (MASs). Consensus protocol designs using relative-output feedback are developed by considering leader-following consensus and one-sided Lipschitz nonlinearity (OSL) under switching topologies. Switching occurrences are modeled using a relaxed average dwell time constraint. Consensus protocol designs have been provided for switching communication topologies that have a permanent or frequent directed spanning tree (DST) with respect to the leader. In contrast to conventional methods, a more practical and complicated output feedback approach for the consensus of OSL agents under switching topologies has been addressed. In addition, the scenario of frequent DST in a switching network is addressed for the first time to the best of our knowledge for the observer-based control protocol for MASs with OSL nonlinearities. Numerical simulations are provided for MASs to confirm observer-based protocol's proficiency at synchronization under switching graphs.

AB - This article addresses a multiple Lyapunov functions approach for investigating an observer-based protocol for the consensus of nonlinear multiagent systems (MASs). Consensus protocol designs using relative-output feedback are developed by considering leader-following consensus and one-sided Lipschitz nonlinearity (OSL) under switching topologies. Switching occurrences are modeled using a relaxed average dwell time constraint. Consensus protocol designs have been provided for switching communication topologies that have a permanent or frequent directed spanning tree (DST) with respect to the leader. In contrast to conventional methods, a more practical and complicated output feedback approach for the consensus of OSL agents under switching topologies has been addressed. In addition, the scenario of frequent DST in a switching network is addressed for the first time to the best of our knowledge for the observer-based control protocol for MASs with OSL nonlinearities. Numerical simulations are provided for MASs to confirm observer-based protocol's proficiency at synchronization under switching graphs.

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Observer-Based Relative-Output Feedback Consensus of One-Sided Lipschitz Multi-Agent Systems Subjected to Switching Graphs

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Keywords

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